Answer:
34 ° is the answer as vertically opposite angles are equal
Evaluate the following expression.
2⁵ + (10 - 7)⁴ + 6
Answer:
the answer is 119 hope this helps
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
2 to the power of 5 is 32 and 10 - 7 = 3 and 3 to the power of 4 is 81 and 81 + 32 is 113 and 113 + 6 = 119
Which polynomial is prime?
x3 + 3x2 + 2x + 6
x3 + 3x2 – 2x – 6
10x2 – 4x + 3x + 6
10x2 – 10x + 6x – 6
Option 3 is the prime polynomial , 10x² – 4x + 3x + 6
What is the meaning of a polynomial being prime ?A prime polynomial means a polynomial that cannot be further factorised by a real coefficient.
It is given to asked which of the polynomial among the given option is prime
The given options are
x³ +3x² +2x+6
x²(x+3) +2(x+3)
x³ +3x² -2x-6
x²(x+3) -2(x+3)
10x² – 4x + 3x + 6
2x(5x +2)+3(x+2)
10x² – 10x + 6x – 6
10x(x-1) +6(x-1)
Therefore Option 3 is the prime polynomial.
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Ashley has scored 81, 74, 72, and 93 on her previous four tests. What score does she need on her next test so that her average (mean) is 79?
Answer:
75
Step-by-step explanation:
Add 81, 74, 72, and 93 together
add 75 to that total
divide by 5
Graph your salary and
A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.
How to write and graph an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x)=a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change or common ratio.Based on the information provided above, your salary can be modeled or represented by the following exponential function;
\(f(n)=37000(1.06)^n\)
Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.
In conclusion, the rate of change of this exponential function is equal to 1.06.
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Which equation is true?
An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the multiplication law of exponents for powers to each of the expressions, we have the following:
4 × n × n × n × n = 4n⁴
4 × n⁴ = 4n⁴
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labor-hours and its standard cost card per unit is as follows:
Direct material: $ pounds at $11.00 per pound
Direct labor: 3 hours at $12 per hour
Variable overhead: 3 hours at $7 per hour
Total standard variable cost per unit
The company also established the following cost formulas for its selling expenses:
sales salaries and commissions
shipping expenses
Fixed Cost per
Month
$ 280,000
$ 260,000
$ 55.00
36.00
$112.00
Variable
Cost per
Unit Sold
$ 20.00
$ 11.00
The planning budget for March was based on producing and selling 21,000 units. However, during March the company
actually produced and sold 26.600 units and incurred the following costs:
a Purchased 154.000 pounds of raw materials at a cost of $9.50 per pound. All of this material was used in production.
b. Direct laborers worked 63,000 hours at a rate of $13.00 per hour
e Total variable manufacturing overhead for the month was $510,930
d Total advertising sales salaries and commissions, and shipping expenses were $286,000, $495,000, and $195,000,
respectively
6 What direct labor cost would be included in the company's flexible budget for March?
The direct labor cost included in the Preble Company's flexible budget for March is $819,000.
How to compute Preble Company's direct labor cost?To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.
Given:
Actual production and sales =n26,600 units
Actual direct labor rate = $13.00 per hour
Actual direct labor hours worked = 63,000 hours
Direct labor cost = Actual direct labor rate × Actual direct labor hours worked
Direct labor cost = $13.00/hour × 63,000 hours
Direct labor cost = $819,000
Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.
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Jessica purchased a prepaid phone card for $20. Long distance calls cost 23 cents a minute using this card. Jessica used her card only once to make a long
distance call. If the remaining credit on her card is $11.26, how many minutes did her call last?
The card has $20.
A long distance call costs $0.23.
20 - 11.26 = 8.74 (the amount deducted from her balance).
8.74 / 0.23 = 38 minutes (we divide that amount by the cost).
summary of this shape help u will get 100 points I need it cry cyr ycr
The line of symmetry for the above figure is attached accordingly.
What is a line of symmetry?In mathematics, symmetry with regard to a reflection is known as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry.
That is, a figure with reflectional symmetry does not alter when it is reflected. A line/axis of symmetry exists in 2D, while a plane of symmetry exists in 3D.
After inserting the symmetry lines, the above resulted in a kite.
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Which point corresponds to the real zero of the graph of y = log2 (x + 2) - 1?
Answer:
(0, 0)
Step-by-step explanation:
Ok so you have the equation: \(y = log_2{(x+2)}-1\). To find the zero you simply set the y equal to zero and then solve for x
\(0 = log_2{(x+2)}-1\)
Add 1 to both sides
\(1 = log_2{x+2}\)
Rewrite the equation in exponential form:
\(2^1=x+2\)
Subtract 2 from both sides
\(0 = x\)
So the zero of the function is at the origin (0, 0)
A painter charges $15.15 per hour, plus an additional amount for the supplies. If he made $156.44 on a job where he worked 5 hours, how much did the supplies cost?
Answer:
$15.15 x 5 hrs= $75.75
$156.44 - $75.75= $80.69
The answer is $80.69
If a and b are two angles in standard position in Quadrant I, find cos(a-b) for the given function values. sin a=15/17and cos b=3/5
1) -84/85
2) -36/85
3) 36/85
4) 84/85
Answer:
3)
Step-by-step explanation:
I am one of the maths and they are called BODMAS
Answer:
1
Step-by-step explanation:
cosine of sum of 2 angles law
0.98 is answer 84/85
i think it is negative due to the fact that it is in quad I and cos is neg in quad I but I am not 100% on that
Find the slope of the line that passes through Point A (-2,0) and Point B (0,2) using m= rise/run
The slope is:
m = 1Work/explanation:
I am going to utilise the formula:
\(\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
where m equals the slope of the line.
Plug in the data:
\(\bf{m=\dfrac{2-0}{0-(-2)}}\)
\(\bf{m=\dfrac{2}{0+2}}\)
\(\bf{m=1}\)
Hence, m = 1Simplify the expression. 6c − 8d + 3c + 4d
Answer:
9c -4d
Step-by-step explanation:
6c − 8d + 3c + 4d
Combine like terms
6c + 3c − 8d +4d
9c -4d
What is the area of the triangle given below?
O A. 6 sq. units
B. 12 sq. units
o C. 16 sq. units
O D. 8 sq. units
Answer:
I think its b sorry if it's wrong tho
The area of the triangle given in the figure is 6 square units.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the area of triangle.
Area of triangle is 1/2 × Base × Height
The length of base is 6 units.
The length of height is 2 units.
Now let us plug in the value of base and height into the given formula of triangle.
Area of triangle =1/2×2×6
=6 square units
Hence, the area of the triangle given in the figure is 6 square units.
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Solve for x.
Your answer must be simplified
15<−5x
write as many mathematical expressions or equations as you can about the image include a fraction, a decimal number, or a percentage in each.
Fundraiser
our Goal
250,000
Answer:
110/250
Step-by-step explanation:
If the fraction goal is 250 then put the 250 as the denomanator and the 110 as the top common denomanator.
Percentage of funds raised is 44 % , Fraction of funds raised is (11/25) and Fraction of funds raised in decimal form is 0.44.
What is Percentage?To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.
As per the given data:
In the diagram given, we can find the total amount of funds to be raised and the amount of fund which is raised currently.
Total amount to be raised = $250,000
Amount already raised = $110,000
Percentage of funds raised = (110,000/250,000) × 100 = 44 %
Fraction of funds raised = (110,000/250,000) = (11/25)
Fraction of funds raised in decimal form = 0.44
Hence, Percentage of funds raised is 44 % , Fraction of funds raised is (11/25) and Fraction of funds raised in decimal form is 0.44
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(The question is incomplete, the complete question is given below.)
Does anyone know this?
Are 9.91 and 9.0 equivalent decimals?
Answer:
no
Step-by-step explanation:
there is a difference between these two integers as 9.91 is 0.01 more then 9.0,
they are therefor not equivalent
A cone-shaped popcorn cup has a radius of 5 centimeters and a height of 9 centimeters. How many cubic centimeters of popcorn can the cup hold?
Use 3.14 for π (pi).
The volume of the popcorn cup is __ cm^3
Answer:
The cup can hold 235.5 cubic cm of popcorn.
Step-by-step explanation:
A cone shaped popcorn cup has a radius of 5 cm and a height of 9 cm.
Use 3.14 as an approximation for pi.
Now, to find cubic cm of popcorn the cup can hold.
Radius (r)= 5 cm
Height (h)= 9 cm
\(\pi\)= 3.14 (as per question).
So, to get the cubic cm of popcorn the cup can hold we put formula of volume:
Volume= \(\pi\)r\(x^{2}\) h\(\frac{x}{y}\) 3
Volume= 3.14 x 5\(x^{2}\) × 9\(\frac{x}{y}\)3
Volume= 3x14 x 25 x 3
Volume= 235.5 cubic cm.
The number of entertainment websites in 1995 was 54. By 2004, there were 793 entertainment websites.
Approximately what was the rate of change for the number of websites for this period of time?
Answer:
13.69%
Step-by-step explanation:
793-54=739
739/54=13.68518519
the product in simplest form.
5/6 2/5
Answer:
1/3
Step-by-step explanation:
\(\frac{5}{6}*\frac{2}{5} = \frac{5*2}{6*5} =\frac{10}{30} = \frac{1}{3}\)
5 and 5 cancel out, 2 becomes 1, and 6 simplifies to 3.
What is the distance between (-5, −6) and(-3,-8)?Choose 1 answer:A2B4√4√8D
ANSWER:
STEP-BY-STEP EXPLANATION:
\(\)A group of students observes that a wooden block (m = 0. 40 kg) on the end of a string with a radius of 0. 7 meters makes 9 rotations in 20. 7 seconds when twirled.
The centripetal acceleration of the wooden block is 0.32 m/s^2.
The centripetal acceleration of an object moving in a circle with radius r and angular velocity ω (in radians per second) is given by the formula:
a = rω^2
In this problem, the wooden block is on the end of a string with a radius of 0.7 meters, and it makes 14 rotations in 20.7 seconds. The angular velocity ω can be calculated by dividing the number of rotations by the time:
ω = (14 rotations) / (20.7 seconds) = 0.676 radians/second
Plugging in the values for r and ω, we get:
a = (0.7 meters) × (0.676 radians/second)^2 = 0.32 m/s^2
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The given question is incomplete, the complete question is:
A group of students observes that a wooden block (m = 0.40 kg) on the end of a string with a radius of 0.7 meters makes 14 rotations in 20.7 seconds when twirled. Part A Calculate the centripetal acceleration of the wooden block?
Select the correct answer. Consider this function. Which graph represents the inverse of function f? f(x)= x+4
The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4
What is inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.
In this problem, the function given is f(x) = x + 4;
We can find the inverse of the function as;
y = x + 4;
Let's switch the variables by replacing x as y and y as x;
x = y + 4
Solving for y;
y = x - 4
f⁻¹(x) = x - 4
The graph of the function is attached below
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A basketball with a 12 cm radius is placed into a 24 cm x 24 cm x 24 cm box. The
amount of space inside the box but outside the basketball is
cm³
(Use 3.14 for 7).
The amount of space or volume inside the box but outside the basketball is 6589.44 cm³.
We have to find the volume of the box and volume of the basketball to determine the space outside it.
Box is in rectangular shape.
Volume of the box = 24 × 24 × 24
= 13824 cm³
Basketball is spherical in shape.
Volume of the sphere = 4/3 π r³
= 4/3 π (12)³
= 2304π
= 7234.56 cm³
Amount of space inside the box but outside the basketball is,
13824 cm³ - 7234.56 cm³ = 6589.44 cm³
Hence the required space is 6589.44 cm³.
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The highest temperature ever recorded in Africa was 136F in Libya . The lowest temperature ever recorded in Africa was -11F in Morocco what is the difference in these temperatures extremes
The difference between these temperature extremes is 147.
We are given the highest temperature that was recorded.We are also given the lowest temperature that was recorded.We need to find the difference between these temperature values.This means we need to find the range of the temperature.The highest temperature ever recorded in Africa was 136°F in Libya.The lowest temperature ever recorded in Africa was -11°F in Morocco.The difference in the temperature values is the highest temperature value minus the lowest temperature value.The difference in the temperature values is 136 - (-11).The difference in the temperature values is 136 + 11.The difference in the temperature values is 147.To learn more about temperature, visit :
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Mr. Griggs took his two daughters to the movies to see Frozen 2. He paid 19 dollars in all for the tickets. An adult ticket costs 9 dollars. Write and solve an equation to find how much each child ticket cost.
Answer:
19 - 9 = 2x
$5 per child ticket
Step-by-step explanation:
19 - 9 = 2x
10 = 2x
10 ÷ 2
X= 5
$5 per child ticket
The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
Need help asap! Question: How many 3/4's are in 2?
Use this statement to answer the following questions.
Answer:
two
Step-by-step explanation:
Answer:
Because we want to know how many three-fourths there are, we have to make groups of 3 fourths, or divide the number of fourths we have by 3. So there are (2\times 4)\div 3 = 8\div 3 = 2 \frac23 three-fourths in 2.
Step-by-step explanation:
A set of equations is given below: Equation A: y = x + 1 Equation B: y = 4x + 5 Which of the following steps can be used to find the solution to the set of equations? Ax+1 = 4x + 5 B x = 4x + 5 Cx+1 = 4x Dx+5= 4x + 1
=======================================================
Work Shown:
y = 4x+5 .... start with equation B
x+1 = 4x+5 .... replace y with x+1, due to equation A
The second step used the substitution property.
------
Alternative Viewpoint:
The variable y is equal to both 4x+5 and x+1 at the same time; therefore, the two right hand sides must be the same.
It's like saying if y = x and y = 5, then x = 5.